Chaos, Solitons and Fractals: X最新文献_第5页

A fractional mathematical modeling of protectant and curative fungicide application 保护剂和治疗性杀菌剂应用的分数数学模型

Chaos, Solitons and Fractals: X Pub Date : 2022-06-01 DOI: 10.1016/j.csfx.2022.100071

Pushpendra Kumar , Vedat Suat Erturk , V. Govindaraj , Sunil Kumar

{"title":"A fractional mathematical modeling of protectant and curative fungicide application","authors":"Pushpendra Kumar , Vedat Suat Erturk , V. Govindaraj , Sunil Kumar","doi":"10.1016/j.csfx.2022.100071","DOIUrl":"https://doi.org/10.1016/j.csfx.2022.100071","url":null,"abstract":"<div><p>Fungicides are consumed to foreclose or slow the epidemics of disease germ by fungi. Crop cultivation is a favorable business platform for farmers, but it is also very common for them to have losses. These losses happen by attacking pathogens, such as fungi, oomycetes (water fungi), viruses, bacteria, nematodes, and viroid that spread the infection into the plants. In this article, we derive a fractional mathematical model for simulating the dynamics of fungicide application via Caputo-Fabrizio fractional derivative. Caputo-Fabrizio operator is defined with non-singular type kernel which is better than singular kernel. We give some important proofs related to the existence of a unique solution of the given model. We derive the solution of the model by using the Adams-Bashforth algorithm and also mentioned the stability of the method. We plotted the number of graphs at different fungicide application rate, fungicide decay rate, fungicide effectiveness, curatives rate of fungicide, growth rate of the host, and removal rate. A complete structure of the given problem can be understood by this paper. The main novelty of this work is to understand the role of fungicide application in the disease caused by fungi with the help of fractional derivatives consisting memory effects.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"8 ","pages":"Article 100071"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S259005442200001X/pdfft?md5=fa0f2ccf4eb27f9b80fdb6a20b3cafa0&pid=1-s2.0-S259005442200001X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136895824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The fractional view analysis of the Navier-Stokes equations within Caputo operator Caputo算子内Navier-Stokes方程的分数视图分析

Chaos, Solitons and Fractals: X Pub Date : 2022-06-01 DOI: 10.1016/j.csfx.2022.100076

Hassan Khan , Qasim Khan , Poom Kumam , Hajira , Fairouz Tchier , Said Ahmed , Gurpreet Singh , Kanokwan Sitthithakerngkiet

{"title":"The fractional view analysis of the Navier-Stokes equations within Caputo operator","authors":"Hassan Khan , Qasim Khan , Poom Kumam , Hajira , Fairouz Tchier , Said Ahmed , Gurpreet Singh , Kanokwan Sitthithakerngkiet","doi":"10.1016/j.csfx.2022.100076","DOIUrl":"10.1016/j.csfx.2022.100076","url":null,"abstract":"<div><p>In this research article the residual power series method is implemented for the solution of the Navier-stokes equations with two and three dimensions having the initial conditions. Caputo operator is used for the fractional derivative. The formulation is made in general form and then applied to the specific problems to check the validity of the suggested method. The solution of some numerical examples of the Navier-stokes equations are presented for both fractional and integer orders of the problems. The comparison of the obtained and exact solution is provided by using 2D and 3D plots of the solutions which confirmed the higher accuracy of the proposed method. Tables are drawn to show the results obtained, exact solutions and absolute error of the suggested method for each problem. It is investigated that as the number of terms increase in the series solution of the problems, the obtained solutions have the closed contact with actual solutions of each problem. From the calculated values it is cleared that the method is accurate and easy and therefore can be extended further to linear and nonlinear problems.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"8 ","pages":"Article 100076"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590054422000069/pdfft?md5=c1a46d9123af2c3432de6566709d2150&pid=1-s2.0-S2590054422000069-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74341060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamical analysis of the transmission of dengue fever via Caputo-Fabrizio fractional derivative 登革热经Caputo-Fabrizio分数阶导数传播的动力学分析

Chaos, Solitons and Fractals: X Pub Date : 2022-06-01 DOI: 10.1016/j.csfx.2022.100072

Salah Boulaaras , Rashid Jan , Amin Khan , Muhammad Ahsan

{"title":"Dynamical analysis of the transmission of dengue fever via Caputo-Fabrizio fractional derivative","authors":"Salah Boulaaras , Rashid Jan , Amin Khan , Muhammad Ahsan","doi":"10.1016/j.csfx.2022.100072","DOIUrl":"10.1016/j.csfx.2022.100072","url":null,"abstract":"<div><p>In this work, we develop a sophisticated mathematical model for dengue transmission dynamics based on vaccination, reinfection and carrier class assumptions. We utilize Caputo-Fabrizio fractional framework to represent the transmission phenomena of dengue. For the model analysis, the basic theory and findings of the Caputo-Fabrizio fractional operator are provided. We utilize the next-generation approach to calculate the threshold parameter <span><math><msub><mi>R</mi><mn>0</mn></msub></math></span> for our proposed dengue infection model. We have shown that the disease-free steady-state of the hypothesized dengue system is locally asymptotically stable if <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mo><</mo><mn>1</mn></mrow></math></span> and is unstable in other conditions. The reproduction number of the system of dengue infection is investigated numerically. Furthermore, under the Caputo-Fabrizio approach, we offer a numerical approach for solving our fractional-order problem. We obtain the solution pathways of our system with various values of fractional-order <span><math><mi>ϑ</mi></math></span> and other input values in order to illustrate the effects of fractional-order <span><math><mi>ϑ</mi></math></span> and other input values on our system. Based on our findings, we forecast the most essential system factors for eradicating dengue infections.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"8 ","pages":"Article 100072"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590054422000021/pdfft?md5=fdac609f7a514e3f22b62622d671e4d4&pid=1-s2.0-S2590054422000021-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46441868","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 21

A novel optimized grey model with quadratic polynomials term and its application 一种新的二次多项式项优化灰色模型及其应用

Chaos, Solitons and Fractals: X Pub Date : 2022-06-01 DOI: 10.1016/j.csfx.2022.100074

Suzhen Li, Yuzhen Chen, Rui Dong

{"title":"A novel optimized grey model with quadratic polynomials term and its application","authors":"Suzhen Li, Yuzhen Chen, Rui Dong","doi":"10.1016/j.csfx.2022.100074","DOIUrl":"https://doi.org/10.1016/j.csfx.2022.100074","url":null,"abstract":"<div><p>The grey prediction model has been widely used in various fields and demonstrated good performance. However, when the data shows non-homogeneous exponential characteristic, the effect of the grey prediction model performs poorly. Therefore, a grey prediction model with a quadratic polynomial term (denoted as NGM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) is developed. The NGM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) model is generalized, the GM(1,1) model, the GM(1,1,k) model, the SAIGM model and the GM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) model are the special forms of it. Moreover, the parameter characteristics of the NGM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) model and the effect on the modeling precision are evaluated under the multiplication transformation. To make the NGM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) model more precise, we further analyze the error of the NGM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) model and propose a new model, named BNGM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) model, of which the background value is reconstructed based on the Simpson formula. Subsequently, the effectiveness of the new model is verified through four cases. The result shows that the prediction accuracy of the BNGM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) model is significantly improved. Finally, the BNGM(1,1,<span><math><msup><mi>k</mi><mn>2</mn></msup></math></span>) model is applied to analyse and predict the Gross Domestic Product (GDP) of Chongqing’s primary industry, the total power of Chongqing’s agricultural machinery and the GDP of Chongqing’s wholesale and retail trades, which shows the prediction performance of the new model is superior to other models.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"8 ","pages":"Article 100074"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590054422000045/pdfft?md5=1f2452e5bc1f5aa079de4ca7fa940d15&pid=1-s2.0-S2590054422000045-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"109128407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Implementing digital image security framework with hybrid approach of chaotic map and singular-value decomposition 利用混沌映射和奇异值分解的混合方法实现数字图像安全框架

Chaos, Solitons and Fractals: X Pub Date : 2022-06-01 DOI: 10.1016/j.csfx.2022.100075

Haidar Raad Shakir

{"title":"Implementing digital image security framework with hybrid approach of chaotic map and singular-value decomposition","authors":"Haidar Raad Shakir","doi":"10.1016/j.csfx.2022.100075","DOIUrl":"10.1016/j.csfx.2022.100075","url":null,"abstract":"<div><p>Various encryption techniques, mostly based on mathematical and logical principles, are used for protecting sensitive data from attacks meant to modify or unauthorizedly distribute them. The importance of these techniques has grown significantly as various real-life applications in fields like medicine, banking, or transport are accompanied by increasing security concerns. Various effective cryptography schemes were proposed so far in the literature; however, each of them exhibits certain flaws and limitations with respect to different vital aspects. To overcome these issues, we propose a hybrid scheme for securing digital images by encrypting them using a dual security approach. More precisely, we use first a chaotic map for scrambling the image pixels, and then, we apply the singular-value decomposition method for decomposing the permuted image to provide very strong security. Individually each of these steps has already been considered in the cryptographic literature; however, their combination has not been proposed before this contribution. Experimental results on benchmark data validate our proposed scheme and various performance evaluation metrics indicate that it shows promising qualities in terms of security (against various attacks) and sensitivity in comparison with baseline methods.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"8 ","pages":"Article 100075"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590054422000057/pdfft?md5=1d82cb6bd0dd3cfae41bfc59a3e558bd&pid=1-s2.0-S2590054422000057-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86648695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractional dynamic of two-blocks model for earthquake induced by periodic stress perturbations 周期性应力扰动诱发地震的双块模型的分数动力

Chaos, Solitons and Fractals: X Pub Date : 2021-12-01 DOI: 10.1016/j.csfx.2021.100064

M.T. Motchongom , G.B. Tanekou , Fonzin Fozin , L.Y. Kagho , R. Kengne , F.B. Pelap , T.C. Kofane

{"title":"Fractional dynamic of two-blocks model for earthquake induced by periodic stress perturbations","authors":"M.T. Motchongom , G.B. Tanekou , Fonzin Fozin , L.Y. Kagho , R. Kengne , F.B. Pelap , T.C. Kofane","doi":"10.1016/j.csfx.2021.100064","DOIUrl":"10.1016/j.csfx.2021.100064","url":null,"abstract":"<div><p>In this paper, the resonance behavior of a spring-block model with fractional-order derivative under periodic stress perturbation is investigated. Using the harmonic balance method, we derive the frequency-response equations for the system consisting of two blocks linked by a linear spring. The results have shown that the fractional-order derivative and perturbation parameter can affect the dynamical properties of fault rock, which is characterized by the equivalent linear damping coefficient and the equivalent linear stiffness coefficient. The frequency-response curve displays the resonance peaks and one anti-resonance. The effects of parameters <span><math><mrow><mi>q</mi><mo>,</mo><mspace></mspace><msub><mi>β</mi><mn>0</mn></msub><mo>,</mo><mspace></mspace><msub><mrow><mi>ε</mi></mrow><mn>0</mn></msub><mo>,</mo><mspace></mspace><msub><mi>β</mi><mn>1</mn></msub></mrow></math></span> and <span><math><msub><mrow><mi>ε</mi></mrow><mn>1</mn></msub></math></span> on the resonance and anti-resonance periods and the response amplitudes at the resonance frequency are analyzed. The shear stress response shows that the system accumulates a lot of energy at the resonance frequency. This accumulation can lead to the destabilization of the fault system. The blocks move without accumulating energy at the anti-resonance frequency. This can lead to the stabilization of the fault system.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"7 ","pages":"Article 100064"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.csfx.2021.100064","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48120574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

On qualitative analysis of a discrete time SIR epidemical model 离散时间SIR流行病模型的定性分析

Chaos, Solitons and Fractals: X Pub Date : 2021-12-01 DOI: 10.1016/j.csfx.2021.100067

J. Hallberg Szabadváry, Y. Zhou

引用次数: 0

Cooperators can invade an incumbent population of defectors when one-shot prisoner's dilemmas occur multiple times within a generation 当一次囚犯困境在一代人时间内多次出现时，合作者可以入侵现有的叛逃者群体

Chaos, Solitons and Fractals: X Pub Date : 2021-12-01 DOI: 10.1016/j.csfx.2021.100068

Tim Johnson , Oleg Smirnov

{"title":"Cooperators can invade an incumbent population of defectors when one-shot prisoner's dilemmas occur multiple times within a generation","authors":"Tim Johnson , Oleg Smirnov","doi":"10.1016/j.csfx.2021.100068","DOIUrl":"10.1016/j.csfx.2021.100068","url":null,"abstract":"<div><p>Researchers have identified numerous mechanisms that make cooperation in the prisoner's dilemma possible, yet recent research has proposed what ranks among the most basic of mechanisms: the presence of time. When organisms in spatial models can interact at multiple points in time within a generation, cooperation can evolve in a wider range of settings than in spatial models in which interaction occurs at a single moment. Here we further explore this mechanism via an analytic model that studies the effect of time on cooperation when no spatial dimension is present. The model shows that the mere presence of two or more points in time at which social interaction can occur creates an opportunity for mutant cooperators to invade a well-mixed population of defectors playing the one-shot prisoner's dilemma under the replicator dynamics. These invasions lead to a nonequilbrium cycling of strategies in which cooperation consistently reemerges at alternating time points.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"7 ","pages":"Article 100068"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590054421000130/pdfft?md5=2876378932c85b3db7d642265bb75c7b&pid=1-s2.0-S2590054421000130-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43743378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Approximation Method for Optimization Problems in Gate-Model Quantum Computers 门型量子计算机优化问题的近似方法

Chaos, Solitons and Fractals: X Pub Date : 2021-12-01 DOI: 10.1016/j.csfx.2021.100066

Laszlo Gyongyosi

引用次数: 1

WITHDRAWN: A new 4-D hyper chaotic system generated from the 3-D Rösslor chaotic system, dynamical analysis, chaos stabilization via an optimized linear feedback control, it’s fractional order model and chaos synchronization using optimized fractional order sliding mode control 退出：由三维Rössler混沌系统生成的一个新的四维超混沌系统，动力学分析，通过优化的线性反馈控制实现混沌稳定，其分数阶模型和使用优化的分数阶滑模控制的混沌同步

Chaos, Solitons and Fractals: X Pub Date : 2021-09-01 DOI: 10.1016/j.csfx.2021.100063

G. Laarem

引用次数: 1